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Finding the Third Proportional to 2,561,706 and 5,519,259

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Solution

The third proportional to 2,561,706 and 5,519,259 is: 11,891,380.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561,706 : 5,519,259 = 5,519,259 : x
  2. Step 2: Convert to fraction form
    2,561,706/5,519,259 = 5,519,259/x
  3. Step 3: Cross multiply
    2,561,706x = 5,519,259 × 5,519,259
  4. Step 4: Simplify right side
    2,561,706x = 30,462,219,909,081
  5. Step 5: Solve for x
    x = 30,462,219,909,081/2,561,706
  6. Step 6: Final answer
    x = 11,891,380.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.